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- W2153152045 abstract "Borehole seismic experiments are very sensitive to the source and receiver geometry, the presence or absence of a casing, and to heterogeneities in the formation surrounding the borehole. For applications that go beyond the use of first-arrival times, analytical solutions are generally not sufficient and numerical methods are needed. Here, we present a novel numerical approach for the comprehensive, flexible, and accurate simulation of poro-elastic wave propagation in cylindrical coordinates. An important application of this method is the modeling of complex seismic wave phenomena in fluid-filled boreholes, which represents a major, and as of yet largely unresolved, computational problem in exploration geophysics. We consider a numerical mesh consisting of three concentric domains representing the borehole fluid in the center followed by the casing and the surrounding porous formation. The spatial discretization is based on a Chebyshev expansion in the radial direction and Fourier expansions in the other directions. Time stepping is performed through a Runge-Kutta integration scheme. A domain decomposition method based on the method of characteristics is used to match the boundary conditions at fluid/porous-solid and porous-solid/porous-solid interfaces. The viability and accuracy of the proposed method has been tested and verified in polar coordinates through comparisons with analytical solutions as well as with the results obtained with a corresponding, previously published, and independently benchmarked solution for 2D Cartesian coordinates. For the cylindrical case, the equations of motion can be solved by using spectral operators in all dimensions, thus allowing for 3D heterogeneity and arbitrary receiver and source geometries, or by applying a Fourier decomposition in the azimuthal direction assuming rotational symmetry of the model." @default.
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- W2153152045 date "2013-06-18" @default.
- W2153152045 modified "2023-09-27" @default.
- W2153152045 title "Simulation of Poro-Elastic Seismic Wave Propagation in Complex Borehole Environments Using a Pseudo-Spectral Approach" @default.
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- W2153152045 doi "https://doi.org/10.1061/9780784412992.018" @default.
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